Question

Find the area of the followingrhombus:2m13 mA = [?] m²

Answer 1

We can see that the rhombus is composed of 4 congruent right triangles. The area of a triangle is:

$Area\text{ }triangle=\frac{b\cdot h}{2}$

Where:

b is the base of the triangle

h is the height of the triangle

If the rhombus is composed of 4 identical right triangles, then the area of the rhombus is:

$Area\text{ }rhombus=4\cdot Area\text{ }triangle=4\cdot\frac{b\cdot h}{2}=2bh$

Thus, the area of the rhombus is twice the height times the base.

We can see in the figure that:

b = 13m

h = 2m

Then, we can write:

$Area\text{ }rhombus=2\cdot13m\cdot2m=52m^m$

Thus, the answer is:

$A=52m^2$